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Asymptotic direction in random walks in random environment revisited
(BRAZILIAN STATISTICAL ASSOCIATION, 2010)
Consider a random walk {X(n) : n >= 0} in an elliptic i.i.d. environment in dimensions d >= 2 and call P(0) its averaged law starting from 0. Given a direction I is an element of S(d-1), A(l) = {lim(n ->infinity) Xn . l = ...
QUENCHED INVARIANCE PRINCIPLE FOR THE KNUDSEN STOCHASTIC BILLIARD IN A RANDOM TUBE
(Inst Mathematical StatisticsClevelandEUA, 2010)
ON A GENERAL MANY-DIMENSIONAL EXCITED RANDOM WALK
(INST MATHEMATICAL STATISTICS, 2012)
In this paper we study a substantial generalization of the model of excited random walk introduced in [Electron. Commun. Probab. 8 (2003) 86-92] by Benjamini and Wilson. We consider a discrete-time stochastic process (X-n, ...
Information Recovery from Observations by a Random Walk Having Jump Distribution with Exponential Tails
(Polymat, 2015)
A scenery is a coloring xi of the integers. Let {S-t}(t >= 0) be a recurrent random walk on the integers. Observing the scenery xi along the path of this random walk, one sees the color chi(t) := xi(S-t) at time t. The ...
On recurrence and transience of self-interacting random walks
(SpringerNew YorkEUA, 2013)
Exceptional times for the dynamical discrete web
(ELSEVIER SCIENCE BV, 2009)
The dynamical discrete web (DyDW), introduced in the recent work of Howitt and Warren, is a system of coalescing simple symmetric one-dimensional random walks which evolve in an extra continuous dynamical time parameter ...
Ballistic regime for random walks in random environment with unbounded jumps and Knudsen billiards
(Inst Mathematical StatisticsClevelandEUA, 2012)
Fluctuations of the front in a stochastic combustion model
(GAUTHIER-VILLARS/EDITIONS ELSEVIER, 2007)
We consider an interacting particle system on the one-dimensional lattice Z modeling combustion. The process depends on two integer parameters 2 <= a <= M <= infinity. Particles move independently as continuous time simple ...
Survival time of random walk in random environment among soft obstacles
(UNIV WASHINGTON, DEPT MATHEMATICS, 2009)
We consider a Random Walk in Random Environment (RWRE) moving in an i.i.d. random field of obstacles. When the particle hits an obstacle, it disappears with a positive probability. We obtain quenched and annealed bounds ...